The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Solving ODEs with MATLAB
Abstract
This concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the 'facts of life' for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.
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Cites
Trefethen, L. N. (2000) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719598 · Cited by 4,458
Solving Ordinary Differential Equations II
Hairer, E., & Wanner, G. (1996) · Springer Series in Computational Mathematics · doi:10.1007/978-3-642-05221-7 · Cited by 4,342
Numerical Initial Value Problems in Ordinary Differential Equations
I., E., & Gear, C. W. (1973) · Mathematics of Computation · doi:10.2307/2005674 · Cited by 3,926
A family of embedded Runge-Kutta formulae
Dormand, J. R., & Prince, P. J. (1980) · Journal of Computational and Applied Mathematics · doi:10.1016/0771-050x(80)90013-3 · Cited by 3,634
Shampine, L. F., & Reichelt, M. W. (1997) · SIAM Journal on Scientific Computing · doi:10.1137/s1064827594276424 · Cited by 3,599
Self-citationNumerical Solution of Initial-Value Problems in Differential-Algebraic Equations
Brenan, K. E., Campbell, S. L., & Petzold, L. R. (1995) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971224 · Cited by 3,405
Isaacson, E., Keller, H. B., & Weiss, G. H. (1967) · Physics Today · doi:10.1063/1.3034415 · Cited by 2,262
Discrete Variable Methods in Ordinary Differential Equations.
Farnell, A. B., & Henrici, P. (1962) · American Mathematical Monthly · doi:10.2307/2311275 · Cited by 1,966
The Method of Weighted Residuals and Variational Principles
Finlayson, B. A. (2013) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611973242 · Cited by 1,945
Perturbation Methods in Applied Mathematics
Cole, J. D., & Levine, L. E. (1973) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/tsmc.1973.4309322 · Cited by 1,831
Cited by
Path integrals and symmetry breaking for optimal control theory
Kappen, H. J. (2005) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2005/11/p11011 · Cited by 309
Kinetics and Heat Exchanger Design for Catalytic Ortho-Para Hydrogen Conversion during Liquefaction
Donaubauer, P. J., Cardella, U., Decker, L., & Klein, H. (2019) · Chemical Engineering & Technology · doi:10.1002/ceat.201800345 · Cited by 80
Metadata
- Authors
- Shampine, L. F., Gladwell, I., & Thompson, S.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 2003-04-28
- OpenAlex
- W1587859748
- Cited by
- 828
- References
- 29
- FWCI
- 2.38
- Type
- book
- Language
- en
- Open access
- closed
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